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- W2354994518 abstract "H.Blum and R.Rannacher, under suitable assumptions on smoothness, proved a rate of o(h2) for the extrapolation of finite element eigenvalues on domains with reentrant corners. Based on this, our paper constructs a new scheme, which yields an accuracy of o(h2). First, to solve an eigenvalue problem obtainsλH approximating A on the initial mesh; Then, solving a linear algebra equations derives uhs, and computing the quotient of ush obtains λs on the refined mesh; At last, extrapolate for λH and λs. Numerical experiments, confirming the theoretical rates of convergence, are presented. Computation is half of the other's, and employing the scheme is very easy. The minimum eigenvalue is often used in engineering and mechanics, when the advantage is obvious." @default.
- W2354994518 created "2016-06-24" @default.
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- W2354994518 date "2004-01-01" @default.
- W2354994518 modified "2023-09-23" @default.
- W2354994518 title "An Extrapolation Scheme for Finite Element Eigenvalues on Domains with Reentrant Corners" @default.
- W2354994518 hasPublicationYear "2004" @default.
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